My research is in quantum information theory and its connections to mathematics, fundamental physics & computing. I am in part supported by an NWO Veni grant on Quantum bits in space and time. I am part of the NWA quantum/nano route and a member of the Geometry and Quantum Theory mathematical research cluster.
Motivated by quantum information, I also study mathematical problems in representation theory and invariant theory through the lens of classical and quantum computation.
Curriculum vitae: [pdf]
- Freek Witteveen: quantum information & field theory (PhD candidate)
- Bas Dirkse: multiparty protocols for quantum networks (PhD candidate, joint with TU Delft)
- Raja Damanik: optimal stabilizer testing (MSc project)
- Casper Guyrik (MSc project, joint with Ronald de Wolf)
- Philip Roeleveld: tensor scaling algorithms (BSc project)
- Wouter Borg: entanglement in stabilizer tensor networks (BSc project)
Next group meeting: Wed, May 23, 10:00-11:00 (L236)
I am currently recruiting PhD students and postdocs – please get in touch for further information (with a brief summary of research interests and CV)!
Publications and Preprints
In Spring 2018, I tought a course on Symmetry and Quantum Information. See here for all course material. I previously taught a similar course at Stanford University. Watch this lecture as a teaser. I also taught an abridged version of this course at IES in Cargese.
In Spring 2019, Maris Ozols and I will offer a course on Quantum Information Theory in the MasterMath program. See here for more information.
Quantum Software and Society
- Nature Insight
- Quantum software manifesto
- Ronald de Wolf’s essay on the impact of quantum computing on society
- John Preskill’s essay on noisy intermediate-scale quantum technology
- “Quantum marginal problem, tensor scaling, and invariant theory”, NMC 2018 [pdf]
- “Rigorous entanglement renormalization from wavelets”, KITP 2017, Caltech 2017, AEI 2018, Amsterdam 2018 [pdf] [video] [pdf] [pdf] [pdf]
- “Schur-Weyl Duality for the Clifford Group: Property testing, de Finetti representations, and a robust Hudson theorem”, QIP 2018 [pdf] [video]
- “When is a quantum state a stabilizer state?”, QuSoft 2017, QuTech 2018 [pdf]
- “Bulk reconstruction, error correction, and recovery maps”, KITP 2017 [video]
- “Tensor network models of holography”, DESY 2017
- “When is a state a stabilizer state? Testing stabilizer states with six copies”, CWI 2017
- “Tensors and Quantum Physics”, Auburn 2017 [video]
- “Multiparty entanglement, random codes, and quantum gravity”, Coogee 2017 [pdf], “Multipartite entanglement in toy models of holography”, Simons Center for Geometry & Physics 2016 [pdf] [video]
- “Entanglement in random tensor networks”, Georgia Tech 2016 [pdf]
- “Holographic duality from random tensor networks”, MIT 2015, KITP 2016, Cologne 2016, IQC 2016 [pdf] [pdf] [video] [other]
- “Moment polytopes & computational complexity”, Berkeley 2015 [pdf]
- “The Holographic Entropy Cone”, ETHZ, Caltech, CRM 2015; QIP 2016 [pdf short] [video] [pdf long]
- “Kronecker coefficients and complexity theory”, Dartmouth 2015, Rome 2016 [pdf]
- “Topologically ordered models in higher dimensions”, QGQIT 2015 [pdf]
- “Random Quantum Marginals”, IAS 2014 [video]
- “A Heisenberg Limit for Quantum Region Estimation”, ISIT 2014 [pdf]
- “The Quantum Marginal Problem”, DPG Spring Meeting 2014 [pdf]
- “Entanglement Polytopes”, QIP 2013; QSIT Lunch Seminar [pdf] [video] [science] [pdf] [explorer]
- “Quantum Entropies and Representation Theory”, IHES 2013 [pdf]
- “Computing Multiplicities of Lie Group Representations”, FOCS 2012 [pdf] [video]
- “Quantum State Tomography of 1000 Bosons”, SPS Meeting 2012 [pdf]
- “Quantum Marginals and Classical Moments”, IMS 2013 [pdf]
- “Eigenvalue Distributions of Reduced Density Matrices”, ICMP 2012 [pdf]
- Use wavelets to approximate ground states of free fermion theories.
- Prove new holographic entropy inequalities using the contractor
- Just a moment! – an algorithm for computing moment cones for the quantum marginal problem
- Explore entanglement polytopes
- Compute Kronecker coefficients using barvikron (Python) or the new Kronecker Maple package
- Download the quantum sandbox for Octave/Matlab